Question

If fig., ABCD is a parallelograme with B=1000

and DAC=500

then what is the value

of x​

Answer 1

Step-by-step explanation:

Given ABCD is a parallelogram.

The co-interior angles are always 180°

Given ∠B=100°

i.e, ∠B+∠C=180°

⇒∠C=80°

The opposite angles of a parallelogram are equal

i.e, ∠A=∠C=80°

⇒∠B=∠D=100°

∴ Sum of ∠A+∠C=80°+80°=160°

Hence, the answer is 160°.